(x-2)(x^2-2x+4)-x(x-3)(x+3)=26

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Solution for (x-2)(x^2-2x+4)-x(x-3)(x+3)=26 equation: 


Simplifying
(x + -2)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(-2 + x)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(-2 + x)(4 + -2x + x2) + -1x(x + -3)(x + 3) = 26

Multiply (-2 + x) * (4 + -2x + x2)
(-2(4 + -2x + x2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
((4 * -2 + -2x * -2 + x2 * -2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
((-8 + 4x + -2x2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
(-8 + 4x + -2x2 + (4 * x + -2x * x + x2 * x)) + -1x(x + -3)(x + 3) = 26
(-8 + 4x + -2x2 + (4x + -2x2 + x3)) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(-8 + 4x + 4x + -2x2 + -2x2 + x3) + -1x(x + -3)(x + 3) = 26

Combine like terms: 4x + 4x = 8x
(-8 + 8x + -2x2 + -2x2 + x3) + -1x(x + -3)(x + 3) = 26

Combine like terms: -2x2 + -2x2 = -4x2
(-8 + 8x + -4x2 + x3) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
-8 + 8x + -4x2 + x3 + -1x(-3 + x)(x + 3) = 26

Reorder the terms:
-8 + 8x + -4x2 + x3 + -1x(-3 + x)(3 + x) = 26

Multiply (-3 + x) * (3 + x)
-8 + 8x + -4x2 + x3 + -1x(-3(3 + x) + x(3 + x)) = 26
-8 + 8x + -4x2 + x3 + -1x((3 * -3 + x * -3) + x(3 + x)) = 26
-8 + 8x + -4x2 + x3 + -1x((-9 + -3x) + x(3 + x)) = 26
-8 + 8x + -4x2 + x3 + -1x(-9 + -3x + (3 * x + x * x)) = 26
-8 + 8x + -4x2 + x3 + -1x(-9 + -3x + (3x + x2)) = 26

Combine like terms: -3x + 3x = 0
-8 + 8x + -4x2 + x3 + -1x(-9 + 0 + x2) = 26
-8 + 8x + -4x2 + x3 + -1x(-9 + x2) = 26
-8 + 8x + -4x2 + x3 + (-9 * -1x + x2 * -1x) = 26
-8 + 8x + -4x2 + x3 + (9x + -1x3) = 26

Reorder the terms:
-8 + 8x + 9x + -4x2 + x3 + -1x3 = 26

Combine like terms: 8x + 9x = 17x
-8 + 17x + -4x2 + x3 + -1x3 = 26

Combine like terms: x3 + -1x3 = 0
-8 + 17x + -4x2 + 0 = 26
-8 + 17x + -4x2 = 26

Solving
-8 + 17x + -4x2 = 26

Solving for variable 'x'.

Reorder the terms:
-8 + -26 + 17x + -4x2 = 26 + -26

Combine like terms: -8 + -26 = -34
-34 + 17x + -4x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-34 + 17x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
8.5 + -4.25x + x2 = 0

Move the constant term to the right:

Add '-8.5' to each side of the equation.
8.5 + -4.25x + -8.5 + x2 = 0 + -8.5

Reorder the terms:
8.5 + -8.5 + -4.25x + x2 = 0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -4.25x + x2 = 0 + -8.5
-4.25x + x2 = 0 + -8.5

Combine like terms: 0 + -8.5 = -8.5
-4.25x + x2 = -8.5

The x term is -4.25x.  Take half its coefficient (-2.125).
Square it (4.515625) and add it to both sides.

Add '4.515625' to each side of the equation.
-4.25x + 4.515625 + x2 = -8.5 + 4.515625

Reorder the terms:
4.515625 + -4.25x + x2 = -8.5 + 4.515625

Combine like terms: -8.5 + 4.515625 = -3.984375
4.515625 + -4.25x + x2 = -3.984375

Factor a perfect square on the left side:
(x + -2.125)(x + -2.125) = -3.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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